Given numbers are 234,408,272,154,946

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 234,408,272,154,946 is 105369264.

Find LCM of 234,408,272,154,946 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 3 x 11 x 17 x 39 x 1 x 2 x 7 x 43 = 105369264

Therefore, the lowest common multiple of 234,408,272,154,946 is 105369264.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

234 x 408 x 272 x 154 x 946 = 3783178054656

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

154 : 1, 2, 7, 11, 14, 22, 77, 154

946 : 1, 2, 11, 22, 43, 86, 473, 946

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,408,272,154,946, is 2.

Now, the common factors can be found like this.

234:2x 3x 3x 13

408:2x 2x 2x 3x 17

272:2x 2x 2x 2x 17

154:2x 7x 11

946:2x 11x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 3x 11x 17 = 17952

Therefore, the value for common factors is 17952.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 3783178054656/(2x17952)

LCM = 3783178054656/35904

LCM = 105369264

Thus, we can understand that the LCM of 234,408,272,154,946 is 105369264.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 988, 421, 866, 521, 288
• LCM of 366, 517, 147, 358, 467
• LCM of 337, 782, 524, 127, 899
• LCM of 216, 768, 450, 556, 215
• LCM of 820, 462, 858, 481, 255

1. What is the LCM of 234, 408, 272, 154, 946?

Answer: LCM of 234, 408, 272, 154, 946 is 105369264.

2. How to calculate the LCM of 234, 408, 272, 154, 946?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 234, 408, 272, 154, 946.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.